Do they all refer to articles of trade as opposed to services?
Also I was wondering which word(s) may be used for manufactured items as opposed to natural products, like fruits, vegetables, etc.
goods - This, also, can refer to all products in general, including food items, or agricultural products.
commodity - This typically refers to items traded on the stock market, such as raw materials. It can be used in other ways, and is, but that's how I believe it is primarily used. Agricultural items are commodities. I once heard a purchasing agent say "that's not my commodity", which was another way of saying "that's not my job; don't bother me with it."
ware - This word is not commonly used. It survives in daily usage as part of the compound noun "warehouse".